Mathematics (US) - 0444 CIE

Geometric Constructions

Gbogbo ọrọ náà

A formal geometric construction uses only a pair of compasses and a straight edge, no protractor, no ruler markings. With those two tools you can bisect a line exactly in half, or split an angle into two equal parts, with perfect accuracy.

In this lesson you will make the two key constructions the syllabus asks for: the perpendicular bisector of a line segment and the bisector of an angle. Understanding why each set of arcs works makes the steps easy to remember and reproduce.

Ebumnobi

  1. Make formal geometric constructions with a compass and straight edge, such as a perpendicular bisector and an angle bisector.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

Constructions are how geometry is done without measurement: equal lengths and equal angles are guaranteed by the compass, not estimated. They also build the habit of precise, step-by-step working.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Geometric Constructions. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. A perpendicular bisector cuts a segment: A. at one third B. in half at right angles C. at any angle D. at its end Answer: B
  2. Which tools are allowed in a formal construction? A. protractor and ruler B. compasses and straight edge C. set square only D. protractor only Answer: B
  3. An angle bisector divides an angle into: A. two equal parts B. three parts C. a right angle D. unequal parts Answer: A
  4. Bisecting a 90 degree angle gives two angles of: A. 30 B. 45 C. 60 D. 90 Answer: B
  5. For a perpendicular bisector you open the compasses to: A. less than half the segment B. exactly half the segment C. more than half the segment D. the full segment Answer: C

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Geometric Constructions? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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